signum

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-10.13

https://metanorma.github.io/isq-smart/math/part-2-10/t2-10.13
urn:iso:std:iso:80000:-2:ed-2:en:item:2-10.13

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-10.13

IEC

urn:iec:std:iec:80000-2:2019:::item:2-10.13

Designations

ENsignum

FRsignum

Symbol

sgn a

Notation systems

AsciiMath

"sgn " a

LaTeX

\text{sgn } a

Definition

signum $a$

For real $a$ :

$sgn a = {\begin{cases} 1 if a > 0 \\ 0 if a = 0 \\ - 1 if a < 0 \end{cases}$

See also item signum, of complex number. Sometimes $sgn 0$ is left undefined.

Pour tout $a$ réel:

$sgn a = {\begin{cases} 1 si a > 0 \\ 0 si a = 0 \\ - 1 si a < 0 \end{cases}$

Voir aussi signum, of complex number. Parfois $sgn 0$ est laissé indéfini.

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-10.13

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-10.13
skosxl:prefLabel	"signum"@en
skosxl:altLabel	""sgn " a"@en
skos:definition	signum stem:[a]
skos:note	For real stem:[a]: stem:["sgn " a = {(1 " if " a>0),(0 " if " a=0),(-1 " if " a<0):}] See also item <<t2-15.7>>. Somet…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-10